Question

What value of q makes the statement true? –(q+14) = –3+(–14)

a. –17
b. –3
c. 3
d. 17

Answer 1

-(q + 14) = -3 +(-14)

First, simplify the brackets. / Your problem should look like: -q - 14 = -3 + -14
Second, cancel -14 on both sides. / Your problem should look like: -q = -3
Third, multiply both sides by -1. / Your problem should look like: q = 3

Answer: q = 3 (C)

Answer 2

`-(q+14)=-3+(-14)\\\\-1(q+14)=-17\ \ \ |use\ distributive\ property\ a(b+c)=ab+\\\\-1q-1(14)=-17\\\\-q-14=-17\ \ \ \ |add\ 14\ to\ both\ sides\\\\-q=-3\ \ \ \ |change\ signs\\\\\huge\boxed{q=3}\leftarrow\boxed{c.}`